分数阶耦合系统循环周期边值问题解的存在性  

Existence results for a coupled system of fractional differential equations with cyclic periodic boundary conditions

作　　者：张伟 付欣雨 倪晋波 ZHANG Wei;FU Xinyu;NI Jinbo(School of Mathematics and Big Data,Anhui University of Science and Technology,Huainan 232001,Anhui,China)

机构地区：[1]安徽理工大学数学与大数据学院,安徽淮南232001

出　　处：《山东大学学报（理学版）》2024年第4期45-52,80,共9页Journal of Shandong University(Natural Science)

基　　金：安徽省自然科学基金资助项目(2208085QA05);安徽理工大学研究生创新基金项目(2023cx2146)。

摘　　要：研究一类新的分数阶耦合系统共振边值问题,考虑循环周期边值条件情形。此时不仅方程是耦合的,边值条件也相互依赖。利用Mawhin连续性定理,得到解的存在性准则,并举例说明主要结论。A new class of coupled fractional systems with resonance boundary value problems is studied,considering the case of cyclic periodic boundary conditions.In this case,not only are the equations coupled,but the boundary conditions are also interdependent.By using Mawhin's continuation theorem,the existence criteria for solutions are obtained and the main results are illustrated by an example.

关 键 词：分数阶耦合系统 共振边值问题 循环周期边值条件 Mawhin连续性定理 

分 类 号：O175.8[理学—数学]